解题方法
1 . 下列函数是偶函数的是( )
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 若定义在
上的函数
满足
,且
关于点
对称,在区间
上,恒有
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1d2e119fb24b082a2a4174117ebd317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c3dd8fa2dc8c0c7e255bfb054ad34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef42ef19c30c038b75f1710278ad0c76.png)
A.![]() |
B.函数![]() ![]() |
C.函数![]() ![]() |
D.函数![]() ![]() |
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解题方法
3 . 下列四个函数中在定义域内为非奇非偶函数的个数是( )
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e62db7dce98b4954a0bf3fcb7ac2603.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f177e151e55b24cf49be667d4c72ae.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce427e97019745d570dd2728027fba5.png)
(4)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e62db7dce98b4954a0bf3fcb7ac2603.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f177e151e55b24cf49be667d4c72ae.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce427e97019745d570dd2728027fba5.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
A.1个 | B.2个 | C.3个 | D.0个 |
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4 . 已知函数
.
(1)判断函数
的奇偶性,并证明;
(2)若
,根据函数单调性的定义证明函数
在区间
上单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f2b0c2e52761869a7b68d60d390aa5c.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697d4641285e469b78e429a6e16df7c4.png)
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2024-01-24更新
|
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2卷引用:云南省昆明市官渡区2023-2024学年高一上学期1月期末数学试题
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5 . 在下列函数中,既是偶函数又在
上单调递增的函数有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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|
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云南省昆明市禄劝彝族苗族自治县第一中学2023-2024学年高一上学期期末教学测评数学试卷四川省泸州市泸县第五中学2023-2024学年高一下学期开学考试数学试题(已下线)第一章三角函数章末综合检测卷(新题型)-【帮课堂】(北师大版2019必修第二册)
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6 . 若函数
对任意实数
,
都有
,则称其为“保积函数”.现有一“保积函数”
满足
,且当
时,
.
(1)判断“保积函数”
的奇偶性;
(2)若“保积函数”
在区间
上总有
成立,试证明
在区间
上单调递增;
(3)在(2)成立的条件下,若
,求
,
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97b02cc48dab7860567b6c7762b2e87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40aa8429b2b7d252700f2813c259592d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216596e85d5b13220fa0c326948f05d1.png)
(1)判断“保积函数”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若“保积函数”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(3)在(2)成立的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896df31f80127adbae738b3a014bd4e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1a7019c44757feab4fc0b40db8d3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966cc43fa3220739f2d2e091fe4b30f4.png)
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解题方法
7 . 已知函数
在
上的图象如图所示,则
的解析式可以为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/0890089b-83be-46e3-bec5-5988da522c1c.png?resizew=155)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c85aaff477e4509ed690250d783525b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/0890089b-83be-46e3-bec5-5988da522c1c.png?resizew=155)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
8 . 已知函数
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107f5f97110237a6cb4d76ac18370466.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2612e00ea2c1992d1601ca8ab0fd36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0dd72ecc683a828d969ea06ce9e2056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107f5f97110237a6cb4d76ac18370466.png)
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解题方法
9 . 函数
在区间
上的图象大致为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a107e5b9e67e784a6625a064a6b2fcf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/877e6c30566e9d9b11ecf5b78f4c5e73.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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|
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解题方法
10 . 已知
是定义在
上的奇函数,若对任意
,均有
且
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d41acc47493556617fe7b9e55093d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a7c2c68ff0f4fc26f278b6a739b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3bbecf5d9f49e9bc711a372b6be5d07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb2a9636728bbe6329b623d7d33d004a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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